A boundary blow-up for sub-linear elliptic problems with a nonlinear gradient term
| dc.contributor.author | Zhang, Zhijun | |
| dc.date.accessioned | 2021-07-16T19:30:09Z | |
| dc.date.available | 2021-07-16T19:30:09Z | |
| dc.date.issued | 2006-05-20 | |
| dc.description.abstract | By a perturbation method and constructing comparison functions, we show the exact asymptotic behaviour of solutions to the semilinear elliptic problem Δu - |∇u|q = b(x)g(u), u > 0 in Ω, u|∂Ω = +∞, where Ω is a bounded domain in ℝN with smooth boundary, q ∈ (1, 2], g ∈ C[0, ∞) ∩ C1 (0, ∞), g(0) = 0, g is increasing on [0, ∞), and b is non-negative non-trivial in Ω, which may be singular or vanishing on the boundary. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 9 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Zhang, Z. (2006). A boundary blow-up for sub-linear elliptic problems with a nonlinear gradient term. <i>Electronic Journal of Differential Equations, 2006</i>(64), pp. 1-9. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13937 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Semilinear elliptic equations | |
| dc.subject | Large solutions | |
| dc.subject | Asymptotic behaviour | |
| dc.title | A boundary blow-up for sub-linear elliptic problems with a nonlinear gradient term | |
| dc.type | Article |